Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 60, pp. 1-14.

Title: A combustion model with unbounded thermal conductivity and reactant
       diffusivity in non-smooth domains
   
Author: Sikiru Adigun Sanni (Univ. of Uyo, Nigeria)

Abstract:
 In this article, we present a strongly coupled quasilinear
 parabolic combustion model with unbounded thermal conductivity
 and reactant diffusivity in arbitrary non-smooth domains.
 A priori estimates are obtained, and the existence of a unique global
 strong solution is proved using a Banach fixed point theorem. 
 
Submitted June 25, 2008. Published May 04, 2009.
Math Subject Classifications: 35B40, 35K57, 80A25.
Key Words: Combustion model; reactant diffusivity; thermal conductivity;
           Banach fixed point theorem.